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Finding the Fourth Proportional to 2,670.51, 3,682.87 and 2,039.87

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Solution

The fourth proportional to 2,670.51, 3,682.87 and 2,039.87 is: 2,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.51 : 3,682.87 = 2,039.87 : x
  2. Step 2: Convert to fraction form
    2,670.51/3,682.87 = 2,039.87/x
  3. Step 3: Cross multiply
    2,670.51x = 3,682.87 × 2,039.87
  4. Step 4: Simplify right side
    2,670.51x = 7,512,559.42
  5. Step 5: Solve for x
    x = 7,512,559.42/2,670.51
  6. Step 6: Final answer
    x = 2,813.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.